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Finding the Fourth Proportional to 31,506, 43,476.88 and 17,165.88

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Solution

The fourth proportional to 31,506, 43,476.88 and 17,165.88 is: 23,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506 : 43,476.88 = 17,165.88 : x
  2. Step 2: Convert to fraction form
    31,506/43,476.88 = 17,165.88/x
  3. Step 3: Cross multiply
    31,506x = 43,476.88 × 17,165.88
  4. Step 4: Simplify right side
    31,506x = 746,318,904.85
  5. Step 5: Solve for x
    x = 746,318,904.85/31,506
  6. Step 6: Final answer
    x = 23,688.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.